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Dr. Arkadii I. Leonov

Professor of Polymer Engineering

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Selected Publications

Scientific Monographs

  1. Belkin, I.M., Vinogradov, G.V., Leonov, A.I., ROTATIONAL DEVICES.  The Measurements of Viscosity and Physico-Mechanical Characteristics of Materials. (Russian), "Mechanical Engineering," Moscow, 1968. pp. 272, Figs. 168, Refs. 207
  2. Leonov, A.I., Basov, N.I. Kazankov, Yu.V., FUNDAMENTALS IN PROCESSING OF THERMOSETTS AND RUBBERS BY INJECTION MOLDING. (Russian), "Khimiya", Moscow, 1977. pp. 216, Figs. 116, Refs. 247
  3. Leonov, A.I., Prokunin, A.N., NONLINEAR PHENOMENA IN FLOWS OF VISCOELASTIC POLYMER FLUIDS. "Chapman & Hall", New York, 1994, pp.475, Figs. 182, Refs. 582
  4. Leonov, A.I., “RHEOLOGY OF POLYMERIC FLUIDS”, Chapman & Hall, re-submitted in 2000.

Book Chapters

  1. Leonov, A.I., “Constitutive Equations for Viscoelastic Liquids: Formulation, Analysis and Comparison with Data”, in: ADVANCES IN THE FLOW AND RHEOLOGY OF NON-NEWTONIAN FLUIDS, D.A. Siginer, D. De Kee and R.P. Chhabra Eds. , Elsevier, New York, 1999, pp.519-576.
  2. Leonov, A.I. and Padovan, J., “Scaling Approach in Solving Problems of Complex Viscoelastic Flows with Multi-Mode Constitutive Models of Differential Type”, in: ADVANCES IN THE FLOW AND RHEOLOGY OF NON-NEWTONIAN FLUIDS, D.A. Siginer, D. De Kee and R.P. Chhabra Eds. Elsevier, New York, 1999, pp. 577-590.

Scientific Papers

I.  Rheology and Non-Newtonian Fluid Mechanics

  1. Leonov, A.I., On Non-Steady Flow of Incompressible Maxwell Liquid In a Gap Between Two Infinite Parallel Plates, 1961.  Trans. Acad. Sci. USSR, Techn. Sci., Ser. Mech. and Mech. Eng., No. 3, 58-67
  2. Leonov, A.I. and Malkin, A.Ya., On the Criteria of Instability in Shear Deformations of Elastoviscous Polymeric Media, 1963.  Proc. Acad. Sci. USSR, 151, No. 2, 380-383
  3. Leonov, A.I. and Vinogradov, G.V., Polymer Rheology; Theory of Thixotropy, 1964.  Proc. Acad. Sci. USSR, 155, No. 2, 406-409
  4. Vinogradov, G.V., Malkin, A.Ya. and Leonov, A.I., 1963.  Conditions of  Unstable Flow of Viscoelastic Polymer Systems, Kolloid Z. und Z. fur Polymere, 191, H I, 25-30
  5. Leonov, A.I., Malkin A.Ya. and Vinogradov, G.V., On the Effect of Rigidity of  Dynamometer on the Results of Rheological Measurements, 1964.  Colloid J., USSR, 26, No. 3, 335-340
  6. Leonov, A.I., Theory of Thixotropy of Elastoviscous Media With Continuous Distribution of Relaxation Times, 1964.  J. Appl. Mech. and Techn. Phys., USSR, No. 4, 79-80
  7. Leonov, A.I. and Vinogradov, G.V., On the Rheological Dependencies for Flows of Elastoviscous Media In the Field of Constant Elongational  Strain Rate, 1965.  Proc. Acad. Sci. USSR., 162, No. 4, 869-872
  8. Leonov, A.I. and Malkin, A.Ya., On Experimental Verification of the Theory of  Thixotropy for Elastoviscous Polymer Media, 1965. J. Appl. Mech. and Techn. Phys., USSR, No. 4, 107-110
  9. Buyevich, Yu.A. and Leonov, A.I., The Self-Oscillations in Couette Flow of Incompressible Maxwell Liquid, 1966.  J. Appl. Mech. and Techn. Phys., USSR, No. 2, 103-105
  10. Buyevich, Yu.A. and Leonov, A.I., Towards the Theory of Non-Newtonian Flow of Polymers.  I. Polymer Melts, 1966.  Mech. Polym., USSR, No.3, 429-434
  11. Leonov, A.I., On Stretching an Elastoviscous Cylinder, 1966. Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 2, 92-98
  12. Gorodtsov, V.A. and Leonov, A.I., On Linear Instability of Flat-Plate Couette Flow of an Elastoviscous Liquid, 1967.  Appl. Math. Mech., USSR, 31, No. 2, 289-299
  13. Gorodtsov, V.A. and Leonov, A.I., On Kinematics, Non-Equilibrium Thermodynamics and Rheological Relations in Nonlinear Theory of Viscoelasticity, 1968.  Appl. Math. Mech., USSR, 32, No. 1, 70-94
  14. Gorodtsov,V.A. and Leonov, A.I., Kinematics, Irreversible Thermodynamics and Constitutive Relations in Nonlinear Theory of Viscoelasticity, 1968.  In:  "Heat and Mass Transfer in Rheological Systems," 3, 143-150, Minsk, USSR
  15. Leonov, A.I. and Malkin, A.Ya., On the Normal Stresses in 1D Steady  Shearing Flows of Polymeric Melts, 1968.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 3, 184-189
  16. Karakin, V.A., and Leonov, A.I., On the  Self-Oscillations in Capillary Flows of Polymer Melts, 1968.  J. Appl. Mech. and Techn. Phys., USSR, No. 3, 110-114
  17. Gorodtsov, V.A. and Leonov, A.I., On Importance of a Scalar Structural Parameter in the Rheology of Elastoviscous Liquids, 1969.  Mech. Polym., USSR, No. 6, 1087-1097
  18. Vinogradov, G.V., Leonov, A.I. and Prokunin, A.N., 1969.  On Uniaxial Extension of an Elasto-Viscous Cylinder, Rheol. Acta, 8, H 4, 482-490
  19. Leonov, A.I., Faitel'son, L.A. and Tsiprin, M.G., Periodic Deformations and Viscous Flow of Polymer Solutions and Melts; Mech. Polym.,USSR,
                   Rep.1, No. 3, 519-527 (1969);
                   Rep.2, No. 3, 357-366 (1970);
                   Rep.3, No. 3, 521-529 (1970)
  20. Leonov, A.I. and Prokunin, A.N., Slow Extension of Elastoviscous Polymers, 1970. In: "Advances in Polymer Rheology," pp. 40-51, Moscow, "Khimiya", USSR
  21. Leonov, A.I. and Malkin, A.Ya., Unstable Flow of Polymers, 1970.  In: "Advances in Polymer Rheology," pp. 98-117, Moscow, "Khimiya", USSR
  22. Leonov, A.I., Malkin, A.Ya. and Vinogradov, G.V., On the Features of  Large Elastic Strains in Fluid Polymers, 1970. J. Polym. Sci., USSR, 12, No. 5, 1044-1050
  23. Gorodtsov, V.A. and Leonov, A.I., A Linear Dynamic Model of the Wall Turbulence in an Elastoviscous Liquid and the Drag Reduction Effect, 1972.  In: "Heat and Mass Transfer in Rheological Systems," 3, 124-128, Minsk, USSR
  24. Leonov, A.I., Thixotropic Effects in Viscoelastic Media, 1972.  Progr. Heat and Mass Transf., 5, 151-164, Pergamon Press, Oxford, New York
  25. Gorodtsov, V.A. and Leonov, A.I., 1972.  Non-Equilibrium Thermodynamics and Rheology of Viscoelastic Fluids, Progr. Heat and Mass Transfer, 5, 173-176, Pergamon Press, Oxford, New York
    Leonov, A.I. and Prokunin, A.N.,  On Spinnability in Viscoelastic Liquids, 1973. Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 4, 24-33
  26. Gorodtsov, V.A. and  Leonov, A.I., A Model of Turbulent Drag Reduction  for Viscoelastic Liquids, 1973. Engng. Phys. J., USSR, 25, No. 6, 1081-1089
  27. Leonov, A.I., On the Description of Rheological Behavior of Elastoviscous Media Under Large Elastic Strains, 1973.  Preprint No. 34, Institute of Problems in Mechanics, USSR  Acad. Sci., Moscow, pp.60, figs. 1, refs. 25
  28. Gorodtsov, V.A. and Leonov, A.I., A Model of a Dynamic Layer in the Wall Turbulence for a Liquid With Stress Relaxation, 1974.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 1, 48-62
  29. Gorodtsov, V.A. and Leonov, A.I., On the Drag Reduction in Elastoviscous  Liquids, 1974.  In: "Turbulent Flows," Moscow, "Science," 111-130, USSR
  30. Leonov, A.I., Lipkina, E.Kh., Paskhin, Ye.D., and Prokunin, A.N., On the Theoretical and Experimental Study of Shear Deformations in Elastic Polymer Fluids, 1975.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 3, 3-13
  31. Leonov, A.I., Lipkina, E.Kh., Paskhin, Ye.D., and Prokunin, A.N., Some Viscometric Flows of Elastic Liquids, 1975. In: "Rheology of  Polymeric and Disperse Systems, Part 1, 51-56, Minsk, USSR
  32. Leonov, A.I., Paskhin, Ye.D. and Prokunin, A.N., On the Superposition of  Small Amplitude Shear Oscillations on a Steady Shearing Flow of an Elastic Liquid, 1976.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 1, 3-7
  33. Leonov, A.I., Nonequilibrium Thermodynamics and Rheology of Viscoelastic Polymer Media, 1976.  Rheol. Acta, 15, H 2, 85-98
  34. Leonov, A.I., Lipkina, E.Kh., Paskhin, Ye.D., and Prokunin, A.N., Theoretical and Experimental Study of Flow of Elastoviscous Liquid in a Gap Between Rotating Disks, 1976.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 2, 25-30
  35. Leonov, A.I., Lipkina, E.Kh. and Prokunin, A.N., A Theoretical Description of the Fluidity Loss in Polymer Liquids Under Their Intense Deformation, 1976.  J. Appl. Mech. and Techn. Phys.,  USSR, No. 4, 86-93
  36. Leonov, A.I., Lipkina, E.Kh.,Paskhin Ye.D., and Prokunin, A.N., Theoretical and Experimental Investigation of  Shearing in Elastic Polymer Liquids, 1976.  Rheol. Acta, 15, H 7/8, 411-426
  37. Leonov, A.I., On a Few-Parametric Description of Highly Nonlinear Phenomena in Elastoviscous Liquids, 1977.  In: "Machines and Technology of Rubber, Polymer and Rubber Mixtures Processing," 3-14, Yaroslavl', USSR
  38. Leonov, A.I., Lipkina, E.Kh., Paskhin, Ye.D., and Prokunin, A.N., Shear Flows of Elastic Liquids Under Given Tangential Stress, 1976. Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 4, 9-13
  39. Kuzina, Z.M., Leonov, A.I. and Markov, A.A., Nonlinear Waves in an  Elastoviscous Bar and the Problem of Impact of the Finite Length  Bar on a Rigid Obstacle, 1978.  J. Appl. Mech. and Techn. Phys.,  USSR, No. 1, 143-153
  40. Leonov, A.I., Nonisothermal Nonlinear Waves in a Bar Made From a Dissipative Rubber-Like Material, 1978. J. Appl. Mech. and Techn. Phys., USSR, No. 3, 135-145
  41. Leonov, A.I. and Yepifanov, V.P., Dynamic Shearing Measurements in Aqueous Solutions of PEO of Low Concentration, 1979.  J. Polym. Sci., USSR, A21, No. 3, 710-715
  42. Leonov, A.I. and Prokunin, A.N., The Improved Simple Version of a Nonlinear Theory of Elastoviscous Polymer Media, 1980.  Rheol. Acta, 19, 393-403
  43. Leonov, A.I., On the Equivalence of Simplest Nonlinear Rheological Equations for Viscoelastic Polymer Media, 1982.  Rheol. Acta, 21, 683-691
  44. Leonov, A.I. and Prokunin, A.N., On Nonlinear Effects in Extensional  Flow of Polymeric Liquids, 1983. Rheol. Acta, 22, 137-150
  45. Leonov, A.I., Kinematics, Quasilinear Thermodynamics and Rheology in  Nonlinear Theory of Viscoelasticity With the Use of Recovery Strain as an Internal Parameter, 1983.  Annals of N.Y. Acad. Sci., 410, 23-38
  46. Leonov, A.I. and Prokunin, A.N., On the Stretching and Swelling of an Elastic Liquid Extruded From a Capillary Die, 1984.  Rheol. Acta, 23, 62-69
  47. Leonov, A.I., A Linear Model of the Stick-Slip Phenomena in Polymer Flow  in Rheometers, 1984.  Rheol. Acta, 23, 591-600
  48. Leonov, A.I., On Optimal Geometry for Generalized Rotational Flow of  Elastoviscous Liquids in Thin Gaps, 1987.  Annals of N.Y. Acad. Sci., 491, 106-130
  49. Leonov, A.I., On a Class of Constitutive Equations for Elastoviscous  Liquids, 1987.  J. Non-Newt. Fluid Mech., 25, 1-59
  50. Leonov, A.I., Propagation of Nonlinear Waves Along Elastoviscous Bar, 1988.  Rheol. Acta, 27, 335-350
  51. Leonov, A.I., On the Rheology of Filled Polymers, 1990.  J. Rheol., 34 (7), 1039-1068
  52. Leonov, A.I. and Srinivasan, A., On the Modeling of Fluidity Loss Phenomena in Couette and Poiseuille Flows of Elastic Liquids, 1991. Rheol. Acta, 30, 14-22
  53. Leonov, A.I., Georgii Vladimirovich Vinogradov (1910-1988), Biography, 1991.  Rubber Chem. Technol., 64, G27-G30
  54. Leonov, A.I., Analysis of Simple Constitutive Equations for Viscoelastic  Liquids, 1992.  J. Non-Newt. Fluid Mech., 42, 323-350
  55. Leonov, A.I., On Thermodynamics and Stability of General Maxwell-Like Viscoelastic Constitutive Equations in "Theoretical and Applied  Rheology," Proc. XI International Congress on Rheology, Brussels, Belgium, Aug. 17-22, 1992, P. Moldenaers and R. Keunings Eds., Vol.  1, Elsevier, New York (1992), p. 97-99
  56. Kwon, Y. and Leonov, A.I., On 1D Instabilities in Simple Shear and Extensional Flows as Predicted by Some Maxwell-Like Constitutive Equations, 1992, J. Rheol., 36, 1515-1528
  57. Leonov, A.I., On Instabilities in Viscoelastic Constitutive Equations, AMD-Vol. 153/PED-Vol. 141, Recent Advances in Non-Newtonian Flows, ASME 1992, pp.15-30
  58. Kwon, Y. and Leonov, A.I., Remarks on Orthogonal Superposition of Small Amplitude Oscillations on Steady Shear Flow, 1993, Rheol. Acta, 32, 108-112
  59. Coussot, P., Leonov, A.I., Piau, J.M., Rheology of Concentrated Dispersed systems in Low Molecular Weight Matrix, 1993, J. Non-Newt. Fluid Mech., 46, 179-217
  60. Kwon, Y. and Leonov, A.I., On Hadamard-Type Stability of Single Integral  Constitutive Equations for Viscoelastic Liquids, 1993 J. Non-Newt. Fluid Mech., 47, 77-91
  61. Adewale, K.E.P. and Leonov, A.I., On Modeling Spurt Flows of Polymers,  1993, J. Non-Newt. Fluid Mech., 49, 133-138.
  62. Osanaiye, G., Leonov, A.I., White, J.L., Investigations of the Rheological Behavior of Rubber-Carbon Black Compounds Over a Wide Range of   Stresses Including Very Low Stresses, 1993, J. Non-Newt. Fluid Mech., 49, 87-101.
  63. Simhambhatla, M. V. and Leonov, A.I., The Extended Pade-Laplace Method for Efficient Discretization of Linear Viscoelastic Spectra, 1993, Rheol. Acta, 32, 589-600.
  64. Leonov A.I., On a Self-Consistent Molecular Modeling of Linear Relaxation Phenomena in Polymer Melts and Cocentrated Solutions, 1994, J. Rheology, 38(1), 1-11.
  65. Leonov A.I., Relaxation Interactions and a Self-Consistent Approach to the Linear Viscoelasticity of Polymer Melts, 1994, in: "ADVANCES IN  STRUCTURED AND HETEROGENEOUS CONTINUA", D.A. Siginer & Y.G. Yanovsky, Eds., pp. 49-62, Allerton Press, Inc., N.Y.
  66. Leonov, A.I., Thermodynamic Constraints, Stability Conditions and the Problem of Choice for Viscoelastic Constitutive Equations, 1994, in: Proceedings of 4th European Rheology Conference, Sevilla 1994, pp.102-104
  67. Kwon, Y., and Leonov, A.I., On Instabilities of Single-Integral Constitutive Equations for Viscoelastic Liquids, 1994, Rheol. Acta, 33, 398-404
  68. Osanaiye, G.J., Leonov, A.I, and White, J.L., 1995, Rheological Properties of Rubber-Carbon Black and Carbon Black-Oil Compounds Including Measurements at Very Low Shear Stresses, Rubber Chem. and Technol., 68, 50-58
  69. Simhambhatla, M., and Leonov, A.I., On the Rheological Modeling of Viscoelastic Polymer Liquids by Stable Constitutive Equations, 1995, Rheol. Acta, 34, 259-273
  70. Leonov, A.I., On Viscoelastic Constitutive Equations and Rheology for High Speed Polymer Processing, 1995, Polymer International, 36, 187-193
  71. Simhambhatla, M., and Leonov, A.I., On the Rheological Modeling of Filled Polymers With Particle-Matrix Interaction, 1995, Rheol. Acta, 34, 329-338
  72. Kwon, Y., and Leonov, A.I., Stability Constraints in the Formulation of  Viscoelastic Constitutive Equations, 1995 J. Non-Newtonian Fluid  Mech, 58, 25-46.
  73. Leonov, A.I., Reply on the Pokrovskii's Note, "On the Attempt of  Improvement of the Self-Consistent Approach to the Linear Viscoelasticity of Polymer Media", 1995, J. Rheology, 39, 657-658
  74. Leonov, A.I., Viscoelastic Constitutive Equations for High Speed Polymer Flows, 1995, FED-VOL. 231, MD-VOL 66, Development and Applications of Non-Newtonian Flows, 7-20
  75. Volkov, V.S. and Leonov, A.I., Non-Markovian Brownian Motion in Viscoelastic Liquid, 1996,  J. Chem. Phys., 104, 5922-5931.
  76. Leonov, A.I., Spurt and Stress Oscillations in Flows of Molten Polymers,  Proc. XII International Congress on Rheology, A. Ait-Kadi, J.M. Dealy, D.F. James, and M.C. Williams, Eds. August 18-23, 1996 Quebec City (Canada), p. 113-114.
  77. Leonov, A.I., On the Constitutive Equations for Non-Isothermal Bulk Relaxation, 1996, Macromolecules, 29, 8383-8386.
  78. Adewale, K.E.P., and Leonov, A.I., Modeling Spurt and Stress Oscillations in Flows of Molten Polymers, 1997,  Rheol. Acta, 36, 110-127.
  79. Gorodtsov, V. A., and Leonov, A. I., 1998, A Model of Drag Reduction in Turbulent Flows of Dilute Polymer Solutions, Proc. of FEDSM’98, Turbulent Flows (Fundamental Physics/Modeling) 186-01, pp.1-6.
  80. He. L., Ding, R., Leonov A. I., Dixon. H., and Quirk, R.P., Viscoelastic Behavior of Polybutadienes with High 1,4-Microstructure and Narrow Molecular Weight Distribution, 1999, J. Appl. Polym. Sci., 71, 1315-1324.
  81. Ding, R. and Leonov, A.I., An Approach to Chemorheology of a Filled SBR Compound, 1999, Rubber Chem. & Technol., 72/2, 361-383.
  82. Birman, V.B., Leonov, A. I., and Padovan, J., Studies of High Deborah Number Flow of a Polyisobuty- lene in a Square Die, 1999, Rheol. Acta, 38, 235-240.  
  83. Volkov, V. S., Leonov, A. I., Linear Viscoelasticity of Dilute Polymer Solutions in a Viscoelastic Solvent,
    1999, Macromolecules, 32, 7666-7673.
  84. Birman, V.B., Leonov, A. I., and Padovan, J., Experimental Studies of Fast Polymer Flows in Channels and Dies, Submitted to Rheol. Acta in June, 1999.
  85. Siline, M. and Leonov, A.I., On Flows of Viscoelastic Liquids in Long Channels and Dies, 2001,Internat. J. Engng Sci, 39, 415-437.
  86. Jeong, J. and Leonov, A.I., On Helical Flows of Polymer Fluids, 2001,  Polymer Engng & Sci.,41, 918-932.
  87. Joshi, P.G. and Leonov, A.I., Modeling of Steady and Time Dependent Responses in Filled, Uncured and Crosslinked Rubbers, Submitted to Rheol. Acta, in July, 2000. Accepted.
  88. Leonov, A.I. and Volkov, V.S., Thermodynamics of anisotropic viscoelasticity in polymer nematic liquid crystals, Submitted to Physica A in April, 2001.
  89. Jeong, J. and Leonov, A.I., Viscoelastic Effects in Helical Flows of Polymer Fluids, submitted to ASME papers in April, 2001.
  90. Volkov, V. S., Leonov, A. I., Rotational Brownian Motion of Axisymmetric Particles in Maxwell Fluid,
    Submitted to Phys. Rev. E in July, 2001.
  91. Jeong, J. and Leonov, A.I., Viscoelastic Effects in Helical Flows of Polymer Fluids, Submitted to Trans. ASME in June, 2001, accepted.  

II. Fluid Mechanics and Oceanography

  1. Leonov, A.I., A Slow Steady Flow of Viscous Liquid Near a Porous  Sphere, 1962.  Appl. Math. Mech., USSR, 24, No. 3, 564-566
  2. Leonov, A.I., On a Steady Viscous Flow Through Flat and Circular Tubes of Finite Length, 1962.  Trans. Acad. Sci. USSR Techn. Sci., Ser. Mech. and Mech. Engng., No. 6, 56-64
  3. Leonov, A.I., A Slow Viscous Flow in a Tube With Porous Walls, 1963. Trans. Acad. Sci. USSR Techn. Sci., Ser. Mech. and Mech. Engng., No. 2, 160-162
  4. Leonov, A.I., On a Representation of the Solution of  I.S. Gromeko's Problem for Viscous and Elastoviscous Liquids, 1967.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 1, 52-57
  5. Buyevich, Yu.A. and Leonov, A.I., On the Filtration of Fluid In a Medium With Random Porosity, 1967. Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 6, 167-175
  6. Buyevich, Yu.A. and Leonov, A.I., The Structure of Filtration Pseudo-Turbulence, 1968.  Trans. Acad. Sci. USSR, Fluid and Gas Mech., No. 6, 167-175
  7. Buyevich, Yu.A. and Leonov, A.I., On a Model of Steady Flows of Suspensions, 1968.  J. Appl. Mech. and Techn. Phys., USSR, No. 2, 23-25
  8. Buyevich, Yu.A. and Leonov, A.I., A Model of Steady Flows of Suspensions, 1969.  Proc. 1st Republ. Conf. on Aeromech., Heat and Mass Transfer, Publ. by Kiev State Univ., pp. 184-188, USSR
  9. Buyevich, Yu.A., Leonov, A.I. and Safray, V.M., 1969. Variations in Filtration Velocity Due to Random Large-Scale Fluctuations of Porosity, J. Fluid Mech., 37, part 2, 371-381
  10. Laikhtman, D.L., Leonov, A.I. and Miropol'sky, Yu.Z., Interpretation of Measurements of Statistical Characteristics of Scalar Fields in the Ocean in the Presence of Internal Gravitational Waves, 1971. Trans. Acad. Sci. USSR, Phys. Atm. and Ocean, 7, No. 4, 447-454
  11. Laikhtman, D.L., Leonov, A.I. and Miropol'sky, Yu.Z., Determination of 2D Statistical Characteristics of a Scalar Field in the Ocean From Measured Data in Presence of Internal Gravitational Waves, 1971.  Trans. Acad. Sci. USSR, Phys. Atm. and Ocean, 7, No. 5, 638-647
  12. Leonov, A.I. and Miropol'sky, Yu.Z., Generation of Internal Waves in the Ocean, 1972.  Trans. Int. Symp. on Stratified Flows, Report 9,  I-8, Novosibirsk, USSR
  13. Leonov, A.I. and Miropol'sky, Yu.Z., The Resonant Excitation of Internal Gravitational Waves in the Ocean by Oscillations of Atmospheric Pressure, 1973.  Trans. Acad. Sci. USSR, Phys. Atm. and Ocean, 9, No. 8, 851-862
  14. Leonov, A.I. and Miropol'sky, Yu.Z., On the Generation of the Ocean Internal Waves, 1973.  Amer. Soc. Civil Engng., 1-7, New York
  15. Leonov, A.I. and Miropol'sky, Yu.Z., On the Steady Internal Gravitational Waves of Finite Amplitude, 1974. Proc. Acad. Sci. USSR, 218, No. 6, 1287-1290
  16. Leonov, A.I. and Miropol'sky, Yu.Z., Towards the Nonlinear Theory of  Steady Internal Waves, 1975.  Trans. Acad. Sci. USSR, Phys. Atm. and Ocean, 11, No. 5, 491-502
  17. Leonov, A.I. and Miropol'sky, Yu.Z., The Short-Wave Approach in the Theory of Nonlinear Steady Internal Gravitational Waves, 1975.  Trans. Acad. Sci. USSR, Phys. Atm. and Ocean, 11, No. 11, 1169-1179
  18. Leonov, A.I. and Miropol'sky, Yu.Z., On Instability of Internal Gravitational Waves in Infinitely Stratified Fluid, 1975.  Proc. Acad. Sci. USSR, 222, No. 1, 68-71
  19. Borisenko, Yu.D., Leonov, A.I., Miropol'sky, Yu.Z., and Voronovich, A.G., On the Theory of Non-Steady Weakly Nonlinear Internal Waves in a Stratified Fluid, 1976.  Trans. Acad. Sci. USSR, Phys. Atm. and Ocean, 12, No. 3, 293-301
  20. Leonov, A.I., On the Two-Dimensional Korteveg-de Vrise Equations in Nonlinear Theory of Surface and Internal Waves, 1976. Proc. Acad. Sci. USSR, 229, No. 4, 820-823
  21. Leonov, A.I., Miropol'sky, Yu.Z., and Voronovich, A.G., Towards the  Theory of Formation of the Fine Structure of Hydrophysical Fields in the Ocean, 1976.  Oceanology, USSR, Issue 5, 750-759
  22. Leonov, A.I., Miropol'sky, Yu.Z. and Tamsalu, R.E., Calculations of the  Fine Structure of Density and Velocity (On the Example of Baltic Sea), 1977.  Oceanology, USSR, 17, Issue 3, 389-393
  23. Leonov, A.I., Miropol'sky, Yu.Z. and Tamsalu, R. E., Nonlinear Steady Internal and Surface Waves in Shallow Seas, 1979.  Tellus, 32, No. 2, 150-160
  24. Leonov, A.I., The Account of the Earth Rotation in the Weak Nonlinear Theory of Surface and Internal Waves in the Ocean, 1981.  Annals of N.Y. Acad. Sci., 373, 150-159

III.  Continuum Mechanics, Solid Mechanics and Tribology

  1. Buyevich, Yu.A. and Leonov, A.I., Towards the Theory of Dry Friction of  Rubber-like Materials, 1965.  J. Appl. Mech. and Techn. Phys., USSR, No. 6, 77-83
  2. Leonov, A.I. and Mustafayev, V.A., Some Problems in Heat Transfer Under Severe Friction Regimes of Metals Over Thermoplastics, 1968.  In:  "The Problems of Friction and Lubrication", "Science," Moscow, USSR, 87-97
  3. Chernyak, Yu.B. and Leonov, A.I., On the Theory of Adhesive Friction of  Elastomers, 1985.  Annals of N.Y. Acad. Sci., 452, 129-145
  4. Chernyak, Yu.B. and Leonov, A.I., Deformability Effects in the Thermodynamics of Sorption by Microporous Sorbents, 1985. Annals of N.Y. Acad. Sci., 452, 146-162
  5. Chernyak, Yu.B. and Leonov, A.I., On the Theory of Adhesive Friction of  Elastomers, 1986.  Wear, 108, 105-138
  6. Chernyak, Yu.B. and Leonov, A.I., Thermodynamics of Sorption by Deformable Microporous Sorbents, 1986.  J. Colloid. Interf. Sci., 113, N2, 504-520
  7. Leonov, A.I., Extremum Principles and Exact Two-Side Bounds for Potential Functionals and Dissipation for Viscoplastic Media, 1988. J. of Non-Newt. Fluid Mech., 28, 1-28
  8. Leonov, A.I., The Effect of Surface Tension on Stretching of Very Thin Highly Elastic Filaments, 1990, J. Rheol., 34, 155-167.
  9. Leonov, A.I., On the Dependence of Friction Force on Sliding Velocity in the Theory of Adhesive Friction of Elastomers, 1990, Wear, 141, 137-145.
  10. Leonov, A.I., Brown, H.R., A Model of Fibril Deformations in Crazes, 1991, J. Polym. Sci., Part B:  Polym. Phys., 29, 197-209.
  11. Leonov, A.I. and Srinivasan, A.,  Self-Oscillations of an Elastic Plate Sliding Over a Smooth Surface, 1993, Internat. J. Engng. Sci., 31, N3, 453-473.
  12. Leonov, A.I., On a Kinetic Formulation and the Stability of Constitutive Equations for Elasto-Viscoplasti- city, 1995, in: APPLIED MECHANICS IN AMERICAS, Vol.I.: Mechanics of Solids, Ed. by L.A. Godoy et al, American Academy of Mechanics, pp.118-123
  13. Leonov, A.I., and Padovan, J., On a Kinetic Formulation of Elasto-Viscoplasticity, 1996, Int. J. Engng. Sci., 34, N 9, 1033-1046.
  14. Padovan, J., Sawicki, J.T. and Leonov A.I., Thermodynamic Properties of Fractional Differintegro Type Constitutive Relations, 1997, J Therm. Stresses, 20 (5), 491-504.
  15. Leonov, A.I., Continuum Models with Reversible Microstructure, in: The 27th Israel Conference on Mechanical Engineering, Conference Proceedings, pp.629-631, May 19-20, 1998, Technion City, Haifa, Israel.
  16. Joshi, P. and Leonov, A. I., Modeling of Steady and Time Behavior of Filled, Crosslinked Polymers,  Proc. CanCNSM, E. M. Croitoro, Ed., pp. 304-320, June 16-20, Victoria, Brit. Columbia, Canada (1999)
  17. Leonov, A.I., On Finite Elasticity and Hypo-elasticity,  Proc. CanCNSM, E. M. Croitoro, Ed., pp. 654-688, June 16-20, Victoria, Brit. Columbia, Canada, 1999.
  18. Leonov, A.I., On the Conditions of Potentiality in Finite Elasticity and Hypo-Elasticity, 2000, Int. J. of Solids and Structures, 37, 2565-2576.
  19. Freed, A.D. and Leonov, A.I., The Bailey Criterion: Statistical Derivation and Applications to Interpretations of Durability Tests and Chemical Kinetics, Submitted to ZAMP in May 2001.

IV.  Polymer Processing

  1. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, On the Hardening Reaction of Phenoloformaldehydic Resins by Hexamethylenetetramine, 1969.  Trans. High School, Chem. and Chem. Technol., USSR, N 11, 1578-1582
  2. Basov, N.I., Kazankov, Yu.V. Leonov, A.I. et al, Kinetic Regularities of  the Hardening Reaction of Phenolformaldehydic Thermosetts, 1970. Proc. Mosc. Inst. Chem. Engng., USSR, Issue 36, "Polymer Processing," pp. 123-130
  3. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, The Dependence of Viscous Properties of Phenolformaldehydic Thermosetts on the Degree of Hardening, 1970.  Proc. Mosc. Inst. Chem. Engng., USSR, Issue 36, "Polymer Processing," pp. 130-138
  4. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, Changes in Deformation Resistance of Phenolformaldehydic Thermosetts during Process of Hardening, 1971.  Mech. Polym., USSR, Part I:  No. 4, 619-623; Part 2:  No. 5, 820-826
  5. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, The Investigation of Viscous Properties of Phenolformaldehydic Thermosetts with Account of Hardening Reaction Kinetics, 1971.  Trans. High Schools,  USSR, Chem. and Chem. Technol., 14, Issue 1, 126-129
  6. Leonov, A.I. and Shvarz, A.I., On the Time-Temperature Dependence of the  Pre-Vulcanization Reaction for Rubber Compounds, 1972. J. Polym. Sci. USSR, 14A, No. 3, 695-700
  7. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, Some Problems of Deformation of Thermosetts Under Conditions Close to the Hardening  Reaction, 1972.  In :  "Heat and Mass Transfer in Rheological Systems," 3, 212-222, Minsk, USSR
  8. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, The Study of Screw Plastication in Injection Molding of Rubber Compounds, 1972. Trans. All-Union Res. Inst. Rubber-Technic. Mech. Engng., Issue 6, 3-16, Tambov, USSR
  9. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, Fliessverhalten von Duroplasten bei Ihrer Verarbeitung, 1972.  Plaste und Kautschuk, H 7, 507-510
  10. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, The Analysis of a Cell Model for Consolidation of Thermosetts in a Mold During Molding, 1973.  Theor. Found. Chem. Technol., No. 1, 80-88, USSR
  11. Basov, N.I., Leonov, A.I., Lyubartovich, S.A. and Phelipchuk, I.I., The Increase in Output of Equipment for Polymer Processing by Vibrations Imposed on Melt, 1973.  Chem. and Oil Mech. Engng., USSR, No. 6, 7-8
  12. Basov, N.I., Leonov, A.I., Lyubartovich, S.A. and Phelipchuk, I.I., On  the Energy Expenditure in Filling Up Channels with Polymer Melts Under Pulsating Pressure, 1973.  Engng. Phys. J., USSR, 25, No. 6, 1095-1100
  13. Basov, N.I., Leonov, A.I., Kazankov, Yu.V. et al, Rheological Behavior of Thermosetts During Injection Molding, 1973.Trans. Mosc. Inst. Chem. Mech. Engng., USSR, Issue 49, 112-116
  14. Basov, N.I., Leonov, A.I. and Lyubartovich, S.A., Rheological Behavior  of a High-Impact Polystyrene Melt under Large Amplitude Oscillations Imposed on Intense Steady Shearing Flow, 1974.  Mech. Polym., USSR, No. 6, 1127-1130
  15. Basov, N.I., Leonov, A.I., Kazankov, Yu.V. et al, On the Pressure Equalization in a Casting Mold Under Hardening Reaction of  a Thermosett, 1974.  J. Plast. Masses, USSR, No. 9, 73
  16. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. and Titkov, A.N., The Mechanism of Motion of Compressible Powder-Like Materials in a Screw Channel, 1974.  Trans. Mosc. Inst. Chem. Engng., USSR, Issue 54, 3-12
  17. Leonov, A.I., Lyubartovich, S.A. and Phelipchuk, I.I., On Propagation of Periodic Pressure Impulses in a Flow of a Polymer Melt, 1974.  Trans. Mosc. Inst. Chem. Engng., USSR, Issue 54, 36-42
  18. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, An Approach to the Calculation of a Possibility of Filling Up of the Molds by Reactoplasts, 1974.  Technol. Electrotechn. Prod., USSR, No. 10, 12-14
  19. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, Gesamtshema und Reaktioskinetik der Aushartung von Phenol-Formaldehyde Harz mit Hexamethylentetramin, 1974.  Plaste und Kautschuk, H 6, 417-420
    Basov, N.I., Leonov, A.I. et al, Nutzung von Vibrationsimpulsen bei der Verarbeitung von Polymeren, 1974. Plaste und Kautschuk, H 6, 436-439.
  20. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, Untersuchung des Formungsvorgangs bei Spritzgiessen von Duroplastischen Formmassen, 1974, Kunststoffe, 65, H 1, 31-38
  21. Basov, N.I., Leonov, A.I. et al, Verarbeitung von Trockenmishungen Duroplastischer Formmassen auf Schneckenspritzgiessmaschinen, 1975.  Plaste und Kautschuk, H 11, 883-886
  22. Basov, N.I., Leonov, A.I. et al, Untersuchung des Vibrationspritzgiessprozesses von Hochpolymeren. I. Rheologishe Eigenschaften von Polymershcmelzen bei Periodischen Scher und Volumdeformation mit Grossen Amplituden, 1975.  Plaste und Kautschuk, H 12, 970-975
  23. Basov, N.I., Leonov, A.I., Lyubartovich, S.A., Vibroextrusive Injection Molding of Polymer Materials, 1975. J. Plast. Masses, USSR, No. 2, 19-23
  24. Basov, N.I., Kazankov, Yu.V., Leonov, A.I. et al, On the Regular Regime in Filling Thin Cavities by Thermosetts, 1975.  Theor. Found. Chem. Technol., USSR, No. 5, 736-742
  25. Basov, N.I., Leonov, A.I. et al, Untersuchung des Vibrationsspritzgiessens von Polymeren, 2.  Analyse des Prozesses der Erzeugung Periodischer Druckimpulse, 1976.  Plaste und Kautschuk, H.3, 198-201
  26. Basov, N.I., Leonov, A.I. et al, Intensivierung des Spritzgiess- und  Extrusionsprozesses durch Vibrationswirkung, 1976.  Plaste und  Kautschuk, H.10, 752-754
  27. Basov, N.I., Kazankov, Yu.V., Leonov, A.I., Yasonov, V.N., The Regularities of Doze Accumulation in Injection Molding with the Screw Plastication "In Line," 1976.  In:  "Machines and Technology of Polymer Processing," 75-81, Lensoviet's Leningrad Technological  Inst., Leningrad, USSR
  28. Basov, N.I., Leonov, A.I. et al, Untersuchung des Vibrationsspritzgiess Prozesses von Hochpolymeren, 3. Zur Ausbreitung der Longitudinalwellen in Schmelzestrom, 1977Plaste und Kautschuk, H.7, 490-491
  29. Leonov, A.I., Lyubartovich, S.A. and Phelipchuk, I.I., The Propagation of Periodic Impulses of Pressure in Flow of Polymer Melts, 1977.  In  "Machines and Technology of Processing of Polymers in  Goods," 51-55. Published in Mosc. Inst. Chem. Engng.,  Moscow, USSR
  30. Basov, N.I., Leonov, A.I., Lyubartovich, S.A., and Mironov, V.A., The Investigation of Preparation of Dry-Mixed Thermoreactive Compositions, 1977. In:  "Machines and Technology of Processing of Polymers in Goods," 72-76.  Published in Mosc. Inst. Chem. Engng., Moscow, USSR
  31. Ding, R., Leonov, A.I., and A.Y. Coran, A Study of the Vulcanization Kinetics of an Accelerated-Sulfur SBR Compound, 1996,  Rubber Chem. & Technol., 69, 81-91.
  32. Ding, R., and Leonov, A.I., A Kinetic Model for  Sulfur Accelerated Vulcanization of a Natural Rubber  Compound, 1996, J. Appl. Polym. Sci., 61, 455-463.
  33. J.Jeong, C. W. Moon, A. I. Leonov and R. P. Quirk, Cure Kinetics for Silane Coupled Silica Filled SBR Compounds, Submitted to Rubber Chem. & Technol. in September, 1999, revised: March 2001, accepted.
  34. Zhang, W., and Leonov, A.I., IGC Studies of Filler-Filler and Filler-Rubber Interactions in Silica Filled Compounds, 2001,  J. Appl. Polym. Sci., 81, 2517-2530.

V.  Mathematical Sociology

  1. Chernyak, Yu.B, Leonov, A.I., and Lerner A.Ya., On the Theory of Mass Behavior in Developed Human Societies, 1985, Ann. N.Y. Acad. Sci., 452, 44-53
  2. Chernyak, Yu.B, Leonov, A.I., and Lerner A.Ya., The Constructive Theory of Mass Behavior, 1987, Quality and Quantity, 21, 233-253
  3. Chernyak, Yu.B, Leonov, A.I., and Lerner A.Ya., Toward the Constructive Theory of Human Social Behavior, 1992, Ann. N.Y. Acad. Sci., 661
          I.    General Principles, pp.256-276,
          II.   Consumer Behavior, pp.277-298,
          III.   Labor Behavior with Due Regard for Consumption, pp.299-307,
          IV.   Labor Behavior under Fixed Remuneration, pp.308-323,
           V.   Labor Behavior under Piecework Pay, pp.324-353                     

VI.  The Certificates of Invention (Internal USSR Patents)

  1. Basov, N.I., Leonov, A.I. et al, 26.II, 1972. Vibration Nozzle to Injection Molding Machine for Polymer Materials, No. 423,670
  2. Bukhman, Yu.A., Leonov, A.I. et al, 20. VI, 1977.  A Gasket of Rotating Shaft, No. 731,156

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